dedicated to the city, then it is not a private road and anyone in the "public" can use them as long as there are not any ordinances restricting certain types of traffic, e.g. non-local commercial traffic. Roads are rated, typically this influences how wide the roadway is, the speed limit, and things like how many properties can access the road, etc. (local street, minor/major collector, minor/major arterial, etc.) Zoning districts do cross right of ways or meet at the center line of right of ways when different districts meet unless noted otherwise in your city's zoning ordinance.